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Finding the Third Proportional to 469,459 and 1,013,734

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Solution

The third proportional to 469,459 and 1,013,734 is: 2,189,023.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,459 : 1,013,734 = 1,013,734 : x
  2. Step 2: Convert to fraction form
    469,459/1,013,734 = 1,013,734/x
  3. Step 3: Cross multiply
    469,459x = 1,013,734 × 1,013,734
  4. Step 4: Simplify right side
    469,459x = 1,027,656,622,756
  5. Step 5: Solve for x
    x = 1,027,656,622,756/469,459
  6. Step 6: Final answer
    x = 2,189,023.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.